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zepelin [54]
2 years ago
10

The millers are going to put a pool in their backyard this summer. The pool will have a depth of 5 feet, and the dimensions show

n in the picture. What will be the total volume of water needed to fill the pool?

Mathematics
1 answer:
erica [24]2 years ago
3 0

Answer:

D : 510 units

Step-by-step explanation:

NOTE:

Something to consider when solving problems like this is to break the large shape down into smaller, more managable shapes. So for this problem, you can break down this irregular shape into two rectangles. This will make solving problems similar to this easier in the future :)

WORK:

I broke down this shape into two rectangles with the following dimensions:

- 12 meters by 5 meters

- 3 meters by 14 meters

You also know that the depth has to be 5 feet (the problem itself did not account for differences in feet and meters, as when I converted the 5 feet to meters and solved that way, none of the answers were correct)

Using this information, you can now solve for the volume of each of the rectangles

12*5*5 = 300 units

3*14*5 = 210 units

Then, you simply add the two volumes together to find the total volume needed to fill the pool which equals

510 units

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A square 20 cm long and a rectangle 24 cm long have the same perimeter. Find the area of the rectangle.
Nitella [24]
20 * 4 = 80 = perimeter of the square 24*2 = 48, the length of two sides of the rectangle. Deducting from 80 we are left with 32 and dividing by 2 we know the rectangle is 24 x 16 Area = L * W, so you can calculate the area of the rectangle.
384
4 0
3 years ago
8(3x - 4) = 4x - 2<br> What is x?
Serga [27]

Answer:

x=2/3

Step-by-step explanation:

8 (3x-4)= 4x-2

24x-32= 4x-2

20x=30

x=2/3

4 0
3 years ago
Which number line correctly shows -3-1.5?​
Papessa [141]
Pretty sure it’s the 3rd
7 0
3 years ago
Read 2 more answers
How do you make 'a' the subject of the formula: ab - cd = ac
xxTIMURxx [149]
First bring all terms in 'a' to the left side of the formula by subtracting ac from both sides

ab - ac - cd = ac - ac 
ab - ac - cd = 0
now add cd to both sides
ab - ac -cd + cd = cd
ab - ac = cd
now factor the left side by taking out the 'a' 
a(b-c) = cd
now divide both sides by (b-c)
a = cd / (b-c)
done

3 0
3 years ago
7,24,25. 7 , 23,24 7, 25,26 <br> Which of the following will form a right triangle
Andru [333]
We know that
In <span>a right triangle
c</span>²=a²+b²
where
a and b are the legs of triangle 
c is the hypotenuse of the triangle
so

case 1)7,24,25
25²=7²+24²
25²-----> 625
7²+24²----> 625
625 is equal to 625----------> <span>form a right triangle
</span>
case 2) 7,23,24
24²=7²+23²
24²------> 576
7²+23²-----> 578
576 is not 578-------------> not form a right triangle

case 3) 7,25,26
26²=7²+25²
26²-----> 676
7²+25²-----> 674
676 is not 674----->  not form a right triangle

the answer is
7,24,25 form a right triangle



8 0
3 years ago
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